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Author : Wieslawa J. Kaczor
Publisher : American Mathematical Soc.
ISBN 13 : 9780821884430
Total Pages : 400 pages
Book Rating : 4.8/5 (844 download)
Download or read book Problems in Mathematical Analysis written by Wieslawa J. Kaczor and published by American Mathematical Soc.. This book was released on 2000 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wiesława J. Kaczor
Publisher : American Mathematical Soc.
ISBN 13 : 0821820508
Total Pages : 396 pages
Book Rating : 4.8/5 (218 download)
Download or read book Problems in Mathematical Analysis: Real numbers, sequences, and series written by Wiesława J. Kaczor and published by American Mathematical Soc.. This book was released on 2000 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions for all the problems are provided."--BOOK JACKET.
Author : B. Gelbaum
Publisher : Springer Science & Business Media
ISBN 13 : 1461576792
Total Pages : 232 pages
Book Rating : 4.4/5 (615 download)
Download or read book Problems in Analysis written by B. Gelbaum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background for the understanding of the problems and the finding of their solutions. In the bibliography the reader will find listed a number of books from which the necessary working vocabulary and techniques can be acquired. Thus it is assumed that terms such as topological space, u-ring, metric, measurable, homeomorphism, etc., and groups of symbols such as AnB, x EX, f: IR 3 X 1-+ X 2 - 1, etc., are familiar to the reader. They are used without introductory definition or explanation. Nevertheless, the index provides definitions of some terms and symbols that might prove puzzling. Most terms and symbols peculiar to the book are explained in the various introductory paragraphs titled Conventions. Occasionally definitions and symbols are introduced and explained within statements of problems or solutions. Although some solutions are complete, others are designed to be sketchy and thereby to give their readers an opportunity to exercise their skill and imagination. Numbers written in boldface inside square brackets refer to the bib liography. I should like to thank Professor P. R. Halmos for the opportunity to discuss with him a variety of technical, stylistic, and mathematical questions that arose in the writing of this book. Buffalo, NY B.R.G.
Author : Tomasz Radożycki
Publisher : Springer
ISBN 13 : 9783030358433
Total Pages : 369 pages
Book Rating : 4.3/5 (584 download)
Download or read book Solving Problems in Mathematical Analysis, Part I written by Tomasz Radożycki and published by Springer. This book was released on 2020-02-21 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Author : Philip Russell Wallace
Publisher : Courier Corporation
ISBN 13 : 0486646769
Total Pages : 644 pages
Book Rating : 4.4/5 (866 download)
Download or read book Mathematical Analysis of Physical Problems written by Philip Russell Wallace and published by Courier Corporation. This book was released on 1984-01-01 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.
Author : Boris P. Demidovič
Publisher : Beekman Books Incorporated
ISBN 13 : 9780846407614
Total Pages : 496 pages
Book Rating : 4.4/5 (76 download)
Download or read book Problems in Mathematical Analysis written by Boris P. Demidovič and published by Beekman Books Incorporated. This book was released on 1976 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Biler
Publisher : Routledge
ISBN 13 : 135142145X
Total Pages : 232 pages
Book Rating : 4.3/5 (514 download)
Download or read book Problems in Mathematical Analysis written by Biler and published by Routledge. This book was released on 2017-10-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 1 poses 134 problems concerning real and complex numbers, chapter 2 poses 123 problems concerning sequences, and so it goes, until in chapter 9 one encounters 201 problems concerning functional analysis. The remainder of the book is given over to the presentation of hints, answers or referen
Author : Asuman G. Aksoy
Publisher : Springer Science & Business Media
ISBN 13 : 1441912967
Total Pages : 257 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Problem Book in Real Analysis written by Asuman G. Aksoy and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, “The Critic as Artist,” 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.
Author : Vladimir A. Zorich
Publisher : Springer Science & Business Media
ISBN 13 : 9783540403869
Total Pages : 610 pages
Book Rating : 4.4/5 (38 download)
Download or read book Mathematical Analysis I written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Author : Tomasz Radożycki
Publisher : Springer Nature
ISBN 13 : 3030368483
Total Pages : 384 pages
Book Rating : 4.0/5 (33 download)
Download or read book Solving Problems in Mathematical Analysis, Part II written by Tomasz Radożycki and published by Springer Nature. This book was released on 2020-02-22 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Author : Tomasz Radożycki
Publisher : Springer Nature
ISBN 13 : 3030358445
Total Pages : 375 pages
Book Rating : 4.0/5 (33 download)
Download or read book Solving Problems in Mathematical Analysis, Part I written by Tomasz Radożycki and published by Springer Nature. This book was released on 2020-02-20 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Author : Vladimir A. Zorich
Publisher : Krishna Prakashan Media
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4./5 ( download)
Download or read book Mathematical Analysis II written by Vladimir A. Zorich and published by Krishna Prakashan Media. This book was released on 2010-11-16 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.
Author : Teodora-Liliana Radulescu
Publisher : Springer Science & Business Media
ISBN 13 : 0387773797
Total Pages : 452 pages
Book Rating : 4.3/5 (877 download)
Download or read book Problems in Real Analysis written by Teodora-Liliana Radulescu and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis.
Author : M. G. Goluzina
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897386
Total Pages : 386 pages
Book Rating : 4.8/5 (973 download)
Download or read book Selected Problems in Real Analysis written by M. G. Goluzina and published by American Mathematical Soc.. This book was released on with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.
Author : Alberto Torchinsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470420570
Total Pages : 467 pages
Book Rating : 4.4/5 (74 download)
Download or read book Problems in Real and Functional Analysis written by Alberto Torchinsky and published by American Mathematical Soc.. This book was released on 2015-12-14 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. - See more at: http://bookstore.ams.org/GSM-166/#sthash.ZMb1J6lg.dpuf It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most "natural" rather than the most elegant solution is presented. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most “natural” rather than the most elegant solution is presented. - See more at: http://bookstore.ams.org/GSM-166/#sthash.ZMb1J6lg.dpufhe Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the - See more at: http://bookstore.ams.org/GSM-166/#sthash.ZMb1J6lg.dpuft is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of - See more at: http://bookstore.ams.org/GSM-166/#sthash.ZMb1J6lg.dpufIt is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating - See more at: http://bookstore.ams.org/GSM-166/#sthash.ZMb1J6lg.dpuf
Author : Georg Polya
Publisher : Springer Science & Business Media
ISBN 13 : 1475762925
Total Pages : 400 pages
Book Rating : 4.4/5 (757 download)
Download or read book Problems and Theorems in Analysis written by Georg Polya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. A. Kirillov
Publisher : Springer Science & Business Media
ISBN 13 : 1461381533
Total Pages : 351 pages
Book Rating : 4.4/5 (613 download)
Download or read book Theorems and Problems in Functional Analysis written by A. A. Kirillov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.
